Question

21. F(x)=1/2x; g(x)=1/3x
find f(g(x) and g(f(x)
State domain of each
Precalc questions

Answer 1

@zepdrix

Answer 2

@Nnesha

Answer 3

@Owlcoffee

Answer 4

@leonardo0430

Answer 5

May I answer?

Answer 6

\[f(x)=\frac{ 1 }{ 2x }\]
and
\[g(x)=\frac{ 1 }{ 3x }\]
To get f(g(x)), replace every x with g(x):
\[f(g(x))=\frac{ 1 }{ 2(\frac{ 1 }{ 3x }) }=\frac{ 3x }{ 2 }\]
Its domain is all available possible values of x, i.e all real numbers.

Similarly, to get g(f(x) you replace every x with f(x):
\[g(f(x))=\frac{ 1 }{ 3(\frac{ 1 }{ 2x }) }=\frac{ 2x }{ 3 }\]
Its domain is all real numbers.

Answer 7

Thanks for the medal!